A theorem of Poincar\'e-Hopf type
Algebraic Topology
2009-05-29 v1
Abstract
We compute (algebraically) the Euler characteristic of a complex of sheaves with constructible cohomology. A stratified Poincar\'e-Hopf formula is then a consequence of the smooth Poincar\'e-Hopf theorem and of additivity of the Euler-Poincar\'e characteristic with compact supports, once we have a suitable definition of index.
Keywords
Cite
@article{arxiv.0905.4559,
title = {A theorem of Poincar\'e-Hopf type},
author = {Stéphane Simon},
journal= {arXiv preprint arXiv:0905.4559},
year = {2009}
}